What is the Greatest Common Factor of 54846 and 54855?
Greatest common factor (GCF) of 54846 and 54855 is 9.
GCF(54846,54855) = 9
We will now calculate the prime factors of 54846 and 54855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54846 and 54855.
How to find the GCF of 54846 and 54855?
We will first find the prime factorization of 54846 and 54855. After we will calculate the factors of 54846 and 54855 and find the biggest common factor number .
Step-1: Prime Factorization of 54846
Prime factors of 54846 are 2, 3, 11, 277. Prime factorization of 54846 in exponential form is:
54846 = 21 × 32 × 111 × 2771
Step-2: Prime Factorization of 54855
Prime factors of 54855 are 3, 5, 23, 53. Prime factorization of 54855 in exponential form is:
54855 = 32 × 51 × 231 × 531
Step-3: Factors of 54846
List of positive integer factors of 54846 that divides 54846 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 277, 554, 831, 1662, 2493, 3047, 4986, 6094, 9141, 18282, 27423
Step-4: Factors of 54855
List of positive integer factors of 54855 that divides 54846 without a remainder.
1, 3, 5, 9, 15, 23, 45, 53, 69, 115, 159, 207, 265, 345, 477, 795, 1035, 1219, 2385, 3657, 6095, 10971, 18285
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54846 and 54855. The biggest common factor number is the GCF number.
So the greatest common factor 54846 and 54855 is 9.
Also check out the Least Common Multiple of 54846 and 54855
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